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«» p(n) P(vn)
( )
..
Li Yan, J.-V. Ollitrault, A.M. Poskanzer Nucl.Phys. A931 (2014) 1007 Universal parameterization of initial-state fluctuations and its applications to event-by-event anisotropy Li Yan, et al. Phys.Rev.Lett. 112 (2014) 08230, Universal fluctuation-driven eccentricities in proton-proton, proton-nucleus and nucleusnucleus collision Li Yan, J.-V. Ollitrault, A.M. Poskanzer Phys.Rev.Lett.B742(2015)290 Azimuthal Anisotropy Distributions in High-Energy Collisions

, 3 (), 13.30, 2015 ., . .., 2-20

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Initial state fluctuations and higher harmonic flow in heavy-ion collisions C. Gale, S. Jeon , B. Schenke, P. Tribedy, R.Venugopalan Nucl.Phys. A904-905 (2013) 409c-412c

. Vn/ n/< n >

2

E-by-E ATLAS
ATLAS(JHEP), 1311:183 (2013) ..

P(vn) . - P(vn) .
3

«» p( n)
Li Yan, J.-V. Ollitrault, A.M. Poskanzer Phys.Rev.Lett.B742(2015)290

where (r, ) is the initial transverse density profile near midrapidity in a centered polar coordinate system.
n,x n,y -

n2 0 0 p ( n ) pG ( n ) 2n exp( 2 )
, 3 2015 ., .. 4

2

«» p( n)
Li Yan, J.-V. Ollitrault, A.M. Poskanzer Phys.Rev.Lett.B742(2015)290

Yan, Ollitrault, Poskander PRL B742(2015)290

-

0 RP , . p+Pb 0 = 0. --- - :

0<<1 >> 1 p( n) - . 0 = 0, , -

p( ) 2 (1 2 )

1

, 3 2015 ., ..

5

«» p() pPb
PG ( )
Li Yan, et al. Phys.Rev.Lett. 112 (2014) 08230, Universal fluctuation-driven eccentricities in protonproton, proton-nucleus and nucleus-nucleus collision

2

0 02 2 PBG ( ) 2 I 0 ( 2 ) exp( ) 2
2
PPower ( ) 2 (1 ( 0 ) 2 )
1

2

exp(

( 0 )

2

2

)

- : - > 1, (p+Pb)

-c : 0 (- ) 1,
1 P
Power

P

G

- ( ) MC Glauber p+Pb(),

, 3 2015 ., ..

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«» P() Pb+Pb
Li Yan, J.-V. Ollitrault, A.M. Poskanzer Nucl.Phys. A931 (2014) 1007

PG ( )

2

2

exp (

( 0 )

2

2

)

-c . 0 1, 1 PPower PG

- ( ) MC Glauber () Pb+Pb p( 2) p( 3), - ( ),
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P(2) pPb PbPb V2{n}

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CMS p+Pb Pb+Pb
CMS-HIN-14-006, CERN-PH-EP-2015-011, e-Print: arXiv:1502.05382 Evidence of collective long-range multi-particle correlations in pPb collisions ( MS) p(2) pPb PbPb , V2{n}

v2 = k2

2

, 3 2015 ., ..

9

vn = kn
VISHNU ("Viscous Hydrodynamics) (Song, Bass, UH, PRC83 (2011) 024912) U. Heinz,Exploring QCD Frontiers: From RHIC and LHC to EIC, 2012

n

v3 0.2

3

v2 0.25

2

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Li Yan, J.-V. Ollitrault Phys.Rev.Lett. 112 (2014) 082301 -c c :

{4} 2 (2) 2

1/ 4

{6} /{4} , {8} /{6} . {4} {2} MC .
, 3 2015 ., ..

{4} 0.5 30 (2)
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CMS arXiv:1502.05382 CMS-HIN-14-006, arXiv:1502.05382

PbPb, CMS, Phys. Lett. B 724 (2013) 213, arXiv:1305.0609 50% most peripheral (semi-peripheral) PbPb collisions pPb, CMS Phys.Lett. B724(2013)213,arxiv:1305.0609 Ntrack = 40 300

v2{2} and v2{4}, . v2(6)/v2{4} and v2(8)/v2{6} . pPb PbPb pPb (2)
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, 3 2015 ., ..

Li Yan, J.-V. Ollitrault, A.M. Poskanzer Phys.Lett. B742 (2015) 290

P(v2) P(v3) - -by-E ATLAS
Yan, Ollitrault, Poskander arXiv:1408.0921 E-by-E PbPb ATLAS c -

, 3 2015 ., ..

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p( n) P(vn) kn p+Pb Pb+Pb
Li Yan, J.-V. Ollitrault, A.M. Poskanzer Phys.Lett. B742 (2015) 290

p( n )d n P(vn )dvn 1

E-by-E vn = kn n , kn - , kn . -by-E PbPb - P(vn).
k2 Pb+Pb p+Pb ( ).
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0 E-by-E P(v2)
Li Yan, J.-V. Ollitrault, A.M. Poskanzer Phys.Lett. B742 (2015) 290

0 , PbPb

k'=0.1 v2 0 MC Glauber IP Glasma
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P(vn)
vn = kn
n =2, 3,?
n

Pb+Pb , p+Pb
kn - , . MC -KLN MC Gluber,
v2 = k2 2 + k' k2
3 2

.

k2 Pb+Pb p+Pb . k2 Pb+Pb IP GLASMA
, 3 2015 ., ..
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CMS HYDJET++ E-by-E Vn Pb+Pb HYDJET++ CMS

- P(Vn) CMS
V3 V4 V
ATLAS, Jia, arXiv:1407.6057
2

, 17 2015 ., ..

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M. Guilbaud, 31st Winter Wokshop on Nuclear Dynamics, 2015

Comparison of p+Pb with Pb+Pb

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Why extrapolation of hydro prediction works so well? e.g. conformal scaling
G. Basar & Teaney

arXiv:1312.6770

ALICE

D.Gangadharan

S. Radhakrishnan

M. Guilbaud, The 31st Winter Workshop on Nuclear Dynamics. 2015

WWND31_v3_collectivity.pdf

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M. Guilbaud, The 31st Winter Workshop on Nuclear Dynamics. 2015

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Multi-particle correlations

M. Guilbaud, 31st Winter Wokshop on Nuclear Dynamics, 2015

V2

Monte-Carlo Glauber calculation of n
In each event, the anisotropy in harmonic n defined (for n = 2, 3) by : where (r, ) is the initial transverse density profile near midrapidity in a centered polar coordinate system. Fig. 1 displays the histogram of the distribution of

in a p-Pb collision at 5.02 TeV obtained in a Monte-Carlo Glauber calculation [24]. We use the PHOBOS implementation [25]/ We assume that the initial density (r, ) is a sum of Gaussians of width 0 = 0.4 fm, centered around each participant nucleon with a normalization that fluctuates [28]. We have selected events with number of participants 14 N 16, corresponding to typical values in a central p-Pb collision.
2

Comparison of p+Pb with Pb+Pb

26

Why extrapolation of hydro prediction works so well? e.g. conformal scaling

Detailed comparison between experiments are needed

ALICE

S. Dogra

D.Gangadharan

p+Pb Pb+Pb
p(n) P(vn)
.. , 3 (), 13.30, 2015 ., . .., 2-20

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E-by-E

E-by-E Aj = (E1-E2)/(E1+E2) Pb+Pb p+Pb CMS
E-by-E Vn Pb+Pb -

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